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40006740 = 223531137157
BaseRepresentation
bin1001100010011…
…1010001010100
32210021112221010
42120213101110
540220203430
63545252220
7664023504
oct230472124
983245833
1040006740
1120645724
1211494070
138399937
145455a04
1537a3cb0
hex2627454

40006740 has 96 divisors (see below), whose sum is σ = 117218304. Its totient is φ = 10183680.

The previous prime is 40006739. The next prime is 40006741. The reversal of 40006740 is 4760004.

It is an interprime number because it is at equal distance from previous prime (40006739) and next prime (40006741).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40006741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254742 + ... + 254898.

It is an arithmetic number, because the mean of its divisors is an integer number (1221024).

Almost surely, 240006740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40006740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58609152).

40006740 is an abundant number, since it is smaller than the sum of its proper divisors (77211564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40006740 is a wasteful number, since it uses less digits than its factorization.

40006740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40006740 is about 6325.0881416783. The cubic root of 40006740 is about 342.0143969864.

Adding to 40006740 its reverse (4760004), we get a palindrome (44766744).

The spelling of 40006740 in words is "forty million, six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 137 155 157 186 274 310 314 372 411 465 471 548 620 628 685 785 822 930 942 1370 1570 1644 1860 1884 2055 2355 2740 3140 4110 4247 4710 4867 8220 8494 9420 9734 12741 14601 16988 19468 21235 21509 24335 25482 29202 42470 43018 48670 50964 58404 63705 64527 73005 84940 86036 97340 107545 127410 129054 146010 215090 254820 258108 292020 322635 430180 645270 666779 1290540 1333558 2000337 2667116 3333895 4000674 6667790 8001348 10001685 13335580 20003370 40006740